Properties of the Number 10742

Ten Thousand Seven Hundred Forty-Two

Basics

Value: 10741 → 10742 → 10743

Parity: even

Prime: No

Previous Prime: 10739

Next Prime: 10753

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 41 × 131

Divisors: 1, 2, 41, 82, 131, 262, 5371, 10742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111110110

Octal: 24766

Duodecimal: 6272

Hexadecimal: 29f6

Square: 115390564

Square Root: 103.64362016062542

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = n*(13·n - 9)/2. A226488

Number of ways to split an integer partition of n into consecutive subsequences with equal sums. A317715

Shifts left under Stirling2 transform. A3659

Number of integer partitions of n whose number of submultisets is greater than n. A325831

G.f. satisfies: 1 = ∑_n>=0 (-x)^n*(n+1/2) * A(x)ⁿ⁺¹. A193111

Number of partitions of prime(n) into n primes. A259254

5-untouchable numbers. A284187

Numbers k such that k and 8·k, taken together, are pandigital. A114126

Concatenate n-th prime and n-th composite. A38530

Number of (w,x,y,z) with all terms in {1,...,n} and w·x<=y·z+1. A212053